Displaying similar documents to “Positive solutions for system of nonlinear fractional differential equations in two dimensions with delay.”

Absorption in stochastic epidemics

Josef Štěpán, Jakub Staněk (2009)

Kybernetika

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A two dimensional stochastic differential equation is suggested as a stochastic model for the Kermack–McKendrick epidemics. Its strong (weak) existence and uniqueness and absorption properties are investigated. The examples presented in Section 5 are meant to illustrate possible different asymptotics of a solution to the equation.

Functional-differential equations with Riemann-Liouville integrals in the nonlinearities

Milan Medveď (2014)

Mathematica Bohemica

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A sufficient condition for the nonexistence of blowing-up solutions to evolution functional-differential equations in Banach spaces with the Riemann-Liouville integrals in their right-hand sides is proved. The linear part of such type of equations is an infinitesimal generator of a strongly continuous semigroup of linear bounded operators. The proof of the main result is based on a desingularization method applied by the author in his papers on integral inequalities with weakly singular...